In the expansion of $(x + y)^{n}$ , the coefficients of the 17th and the 13th terms are equal. Find the number of terms in the expansion.

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Solution

The correct option is D 29
The coefficient of the 17th term is ${n_{C}}_{16}$ .
The coefficient of the 13th term is ${n_{C}}_{12}$ .
Therefore,
${n_{C}}_{16} = {n_{C}}_{12}$
$n = 16 + 12 = 28$
Therefore,
The number of terms in the expansion is $28 + 1 = 29$ .

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